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Finding the Fourth Proportional to 173.73, 261.54 and 158.85

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Solution

The fourth proportional to 173.73, 261.54 and 158.85 is: 239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.73 : 261.54 = 158.85 : x
  2. Step 2: Convert to fraction form
    173.73/261.54 = 158.85/x
  3. Step 3: Cross multiply
    173.73x = 261.54 × 158.85
  4. Step 4: Simplify right side
    173.73x = 41,545.63
  5. Step 5: Solve for x
    x = 41,545.63/173.73
  6. Step 6: Final answer
    x = 239.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.